Examples of Simple Vectorial Lie Algebras in Characteristic 2

DOI

10.1142/S1402925110000878How to use a DOI?

Keywords

Modular vectorial Lie algebra; modular vectorial Lie superalgebra

Abstract

The classification of simple finite dimensional modular Lie algebras over algebraically closed fields of characteristic p > 3 (described by the generalized Kostrikin–Shafarevich conjecture) being completed due to Block, Wilson, Premet and Strade (with contributions from other researchers) the next major classification problems are those of simple finite dimensional modular Lie algebras over fields of characteristic 3 and 2. For the latter, the Kochetkov–Leites conjecture involved classification of Lie superalgebras and their inhomogeneous with respect to parity subalgebras, called Volichenko algebras.

In characteristic 2, we consider the result of application of the functor forgetting the superstructure to the simple serial vectorial Lie algebras known to us and their Volichenko subalgebras.

Copyright

© 2010 The Authors. Published by Atlantis Press and Taylor & Francis

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - JOUR
AU  - Uma N. Iyer
AU  - Dimitry Leites
AU  - Mohamed Messaoudene
AU  - Irina Shchepochkina
PY  - 2021
DA  - 2021/01/07
TI  - Examples of Simple Vectorial Lie Algebras in Characteristic 2
JO  - Journal of Nonlinear Mathematical Physics
SP  - 311
EP  - 374
VL  - 17
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925110000878
DO  - 10.1142/S1402925110000878
ID  - Iyer2021
ER  -